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Finding the Fourth Proportional to 514.85, 772.26 and 185.80

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Solution

The fourth proportional to 514.85, 772.26 and 185.80 is: 278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.85 : 772.26 = 185.80 : x
  2. Step 2: Convert to fraction form
    514.85/772.26 = 185.80/x
  3. Step 3: Cross multiply
    514.85x = 772.26 × 185.80
  4. Step 4: Simplify right side
    514.85x = 143,483.28
  5. Step 5: Solve for x
    x = 143,483.28/514.85
  6. Step 6: Final answer
    x = 278.69

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